Gene regulatory network models in response to sugars in the plant circadian system

•This study investigated mechanisms by which sucrose regulates plant circadian clocks.•We introduced effects of sucrose into circadian gene-regulatory network models.•The model predicted target genes of sucrose realizing the observed phase response.•The model revealed how the potential target genes should be regulated by sucrose. Circadian entrainment is the process by which internal circadian oscillators staying in synchronization with the local environmental rhythms. Circadian clocks are entrained by adjusting phase and period in response to environmental and metabolic signals. In Arabidopsis thaliana, light and sugar signals differentially affect the circadian phase; the former advances the phase in the late of the subjective night and delays around dusk, while the latter advances the phase mainly in the morning, which is optimal to maintain sucrose homeostasis. We have proposed that the phase adjustment of the A. thaliana circadian oscillator by sugar signals contributes to the realization of carbon homeostasis and the increase of plant growth under fluctuating day-night cycles. However, which genes in the circadian oscillator are targets of sucrose signals and how the potential target genes should be regulated by sucrose to realize sucrose homeostasis has not been studied from the theoretical perspective. Here we investigate the effect of sugar on the phase response property of the plant circadian oscillator using clock gene-regulatory network models. We simulated phase response curves (PRCs) to sucrose pulses, which were compared with an experimental PRC. Our analyses of the gene-regulatory network model demonstrated that target genes of the sugar signal could be members of the PSEUDO-RESPONSE REGULATOR gene family and the evening complex components. We also examined the phase response property using a single feedback-loop model and elucidated how phase advance is induced in the subjective morning under certain conditions of a target clock gene of sucrose and its regulatory property.